Displaying similar documents to “On the non-existence of energy stable minimal cones”

Some nonexistence theorems on stable minimal submanifolds

Haizhong Li (1997)

Colloquium Mathematicae

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We prove that there exist no stable minimal submanifolds in some n-dimensional ellipsoids, which generalizes J. Simons' result about the unit sphere and gives a partial answer to Lawson–Simons' conjecture.